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Policy Design in Long-run Welfare Dynamics

ICLR 2025 · Reinforcement learning › Visual and representation RL · approach: In-context and adaptive RL · 0 citations (OpenAlex)

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Shows, in a stochastic model of welfare dynamics with decay and intervention returns, that Rawlsian (min-U, max-g) policies achieve higher long-run average welfare than utilitarian policies under survival and Matthew-effect conditions, with a reversal under a ruin condition.

Problem

Comparing Rawlsian and utilitarian social policies on long-run social welfare, given that policies that look suboptimal in the short run may yield larger long-term benefits.

Approach

Extends an attention-allocation model from industrial project management to welfare dynamics with individual-specific return and decay functions, proves closed-form long-run growth rates for Rawlsian and utilitarian policies, and gives a survival condition under which Rawlsian policies dominate (and a ruin condition under which utilitarian policies dominate), using a Lundberg-type inequality for s

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Rawlsian min-U/max-g instead of utilitarian max-U/max-f/max-fg under survival, Matthew-effect, and uniform-boundedness conditionsWelfare policy · Long-run welfare under survival conditionlong-term social welfareHelped
Use utilitarian policies instead of Rawlsian policies under the ruin conditionWelfare policy · Long-run welfare under ruin conditionlong-term social welfareHelped
Evaluate policies over a long horizon rather than a short horizonRawlsian versus utilitarian policies · SIPP simulationssocial welfareMixed
Use random allocation instead of utilitarian allocation under survival conditionsRandom policy · Long-run welfare under survival conditionlong-term social welfareHelped
Increase the budget M for random allocationRandom policy · SIPP simulationsconvergence rateHelped
Decrease b, strengthening the poor-get-poorer decay effectRawlsian min-U versus utilitarian max-U · Heterogeneous-population simulationslong-term social welfareHelped
Change decay monotonicity from decreasing to constantRawlsian versus utilitarian policies · Survival condition, uniform boundslong-term social welfareNo clear effect
Change decay monotonicity from decreasing to increasingRawlsian versus utilitarian policies · Survival condition, uniform boundslong-term social welfareHurt
Change return and decay functions to constantRawlsian versus utilitarian policies · Survival condition, uniform boundslong-term social welfareNo clear effect

Surprising findings

Limitations

Experimental setup

Datasets: Survey of Income and Program Participation (SIPP)

Metrics: long-term average social welfare (asymptotic growth rate) finite-horizon average welfare growth rate

Baselines: max-U (utilitarian) max-fg max-f max-g min-U (Rawlsian) random policy

Builds on: attention allocation model (staying with a winner / putting out fires) Lundberg's inequality

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